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Quantum Channels Communication Theory

Denoising quantum states with Quantum Autoencoders - Theory and Applications

arXiv
Authors: Tom Achache, Lior Horesh, John Smolin

Year

2020

Paper ID

450

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We implement a Quantum Autoencoder (QAE) as a quantum circuit capable of correcting Greenberger-Horne-Zeilinger (GHZ) states subject to various noisy quantum channels : the bit-flip channel and the more general quantum depolarizing channel. The QAE shows particularly interesting results, as it enables to perform an almost perfect reconstruction of noisy states, but can also, more surprisingly, act as a generative model to create noise-free GHZ states. Finally, we detail a useful application of QAEs : Quantum Secret Sharing (QSS). We analyze how noise corrupts QSS, causing it to fail, and show how the QAE allows the QSS protocol to succeed even in the presence of noise.

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  • This paper contributes to the Quantum Channels & Communication Theory research area in the Quantum Articles archive.
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  • We implement a Quantum Autoencoder (QAE) as a quantum circuit capable of correcting Greenberger-Horne-Zeilinger (GHZ) states subject to various noisy quantum channels : the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.14714 [2] arXiv https://arxiv.org/abs/2012.14714 [3] Publisher https://arxiv.org/abs/2012.14714

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